Graph Translation Surface in the Lorentz-Heisenberg 3-space with constant curvatures
Zoubir Hanifi, Brahim Medjahdi · DergiPark (Istanbul University) · 2021
In this paper, we study graph translation surfaces in a 3-dimensional Lorentz-Heisenberg3-space H3. The classification theorems of the considered surfaces with zero andnonzero mean and Gaussian curvatures are given. Contrary to the Euclidean case, thereis evidence that , translation surfaces with constant Gaussian curvature K that are notcylindrical surfaces, with constant mean curvature H ̸= 0 which are not settled.